07 December 2015 Hidden symmetry and protection of Dirac points on the honeycomb lattice Jing-Min Hou1 & Wei Chen2 The honeycomb lattice possesses a novel energy band structure, which is characterized by two distinct Dirac points in the Brillouin zone, dominating most of the physical properti...
The VCA ground state of the 2D Hubbard model is examined for possible phase separation under hole doping manifested by spatial inhomogeneities of coexisting different electron densities at equilibrium. Phase separation is accompanied by spectral weight loss and first Brillouin zone boundary deformation. ...
The honeycomb lattice possesses a novel energy band structure, which is characterized by two distinct Dirac points in the Brillouin zone, dominating most of the physical properties of the honeycomb structure materials. However, up till now, the origin of the Dirac points is unclear yet. Here, we...
Gray lines indicate high symmetry directions of the Brillouin zone. Wave vector transfers are shown in the reciprocal space of the monoclinic lattice in reciprocal lattice units for (a)–(g) and projected into a hexagonal lattice in (h)–(i). Data in (a)–(c) and (g) have been ...
The moiré Brillouin zone and the gj1 vectors are shown in the inset of Fig. 1(b). In Fig. 1(a), the band structure for MoSe2 is displayed. The topmost red-colored bands, highlighted in Fig. 1(b), realize a one-orbital honeycomb lattice tight-binding model. The dashed black line...
Fig. 2. (a) The honeycomb lattice structure of graphene with two atoms, A and B, per unit cell. a1 and a2 are the lattice vectors and a = 1.42 Å is the in-plane nearest-neighbor distance. (b) Brillouin zone of graphene with representation of Dirac cones near the K and K’ poin...
point and dinouebnleergDyirsaacmceonasesthaopspeealirst[esdeeinFiEg.q 2. ((d3))].,Fwohr itc1h =a tr0e, the d and p bands become equivalent to the ones at K and K′ points in the unfolded Brillouin zone of honeycomb lattice with the rhombic unit cell of two ...
The exact diagonalization results were produced using the library ARPACK49, primarily on anN = 24 site cluster with the full point group symmetry of the honeycomb lattice, and containing all the high-symmetry points of the Brillouin zone. Additional calculations were done on system sizes rangin...
We prove that the low-level dispersion surfaces have conic singularities near Dirac points, which are the vertices of the first Brillouin Zone. The existence of such conic dispersion surface plays an important role in various electronic properties of honeycomb-structured materials such as graphene. ...
A combination of E and Q steps strongly suppress the eutectoid reaction, which will generate severe lattice distortion in martensite as a result contributing to the formation of a nanoscale lath precursor. The role of the D step is to convert the nanoscale lath precursor into an equiaxed nano-...